In May 2018 Venno signed with one of the top Turkish teams, Galatasaray İstanbul. Venno and Galatasaray played in the final of the 2018–19 CEV Cup where they lost to Italian team Diatec Trentino. Venno was the Best Scorer of the competition totaling 190 points in 10 matches.

For the 2013–14 season Venno signed with Prikamye Perm of the Russian Volleyball Super League. In June 2014 Venno moved to Austria and signed a deal with local powerhouse Hypo Tirol Innsbruck. With Hypo Tirol team he won the Austrian League without losing a single game during the season. He also added a second MEVZA Cup win to his account. In July 2015 Venno signed with Ziraat Bankası Ankara of the Turkish Men’s Volleyball League. For the next season he moved to another Ankara-based team Maliye Milli Piyango. Venno was the top scorer of the league and helped his team to 5th-place finish. Venno stayed with the team for another season and helped Maliye Piyango to the final of the Turkish Cup for the first time in the club’s history as they lost to Halkbank Ankara with the score 2–3. Venno and Maliye Piyango also reached to the semi-finals of the 2017–18 CEV Challenge Cup where they lost to eventual winner Bunge Ravenna in the golden set.

Venno was born in Tartu, and started his career in hometown club Pere Leib Tartu at the age of 16. In addition to three Estonian League silver medals he won the Estonian Cup in 2008 with the and reached the finals of the Baltic League twice. Venno was named the Best Young Estonian Volleyball Player in 2008 and 2009. In summer of 2009 Venno signed with ACH Volley Bled of Slovenia. With the Bled team Venno won the Slovenian League, the Slovenian Cup and the MEVZA Cup. They also reached the Final Four of the 2009–10 CEV Champions League making Venno the first Estonian to play in the semi-finals of the Champions League. In 2010 and 2011 Venno won the Estonian Volleyball Player of the Year award. From 2010 to 2012 he played in Germany for VfB Friedrichshafen and won the German League and the German Cup once. Venno started the 2012–13 season in the Montenegrin top team Budvanska Rivijera Budva. He left the team in December and joined his compatriots Raimo Pajusalu and Keith Pupart in the French team Rennes Volley 35.

Oliver Venno represented the Estonian youth teams in the U16, U18 and U20 level. He is a member of the Estonian national team since 2008 and has represented his country at the 2009, 2011, 2015 and 2017 Men’s European Volleyball Championships. With the national team Venno also won the 2016 and 2018 European Volleyball League titles.

Venno has also successfully represented Estonia in beach volleyball. Together with Kristo Kollo he won the U18 Beach European Championship in 2007 and U19 Beach World Championship in 2008.

Oliver Venno (born 23 May 1990) is an Estonian volleyball player currently playing for Galatasaray İstanbul of the Turkish Men’s Volleyball League. He mostly plays at the opposite hitter position but has also played at the outside hitter position on numerous occasions.